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Finding the Third Proportional to 133,422 and 200,619

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Solution

The third proportional to 133,422 and 200,619 is: 301,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,422 : 200,619 = 200,619 : x
  2. Step 2: Convert to fraction form
    133,422/200,619 = 200,619/x
  3. Step 3: Cross multiply
    133,422x = 200,619 × 200,619
  4. Step 4: Simplify right side
    133,422x = 40,247,983,161
  5. Step 5: Solve for x
    x = 40,247,983,161/133,422
  6. Step 6: Final answer
    x = 301,659.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.